2a-(8a+1)-(a+2)*5=9

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Solution for 2a-(8a+1)-(a+2)*5=9 equation:


Simplifying
2a + -1(8a + 1) + -1(a + 2) * 5 = 9

Reorder the terms:
2a + -1(1 + 8a) + -1(a + 2) * 5 = 9
2a + (1 * -1 + 8a * -1) + -1(a + 2) * 5 = 9
2a + (-1 + -8a) + -1(a + 2) * 5 = 9

Reorder the terms:
2a + -1 + -8a + -1(2 + a) * 5 = 9

Reorder the terms for easier multiplication:
2a + -1 + -8a + -1 * 5(2 + a) = 9

Multiply -1 * 5
2a + -1 + -8a + -5(2 + a) = 9
2a + -1 + -8a + (2 * -5 + a * -5) = 9
2a + -1 + -8a + (-10 + -5a) = 9

Reorder the terms:
-1 + -10 + 2a + -8a + -5a = 9

Combine like terms: -1 + -10 = -11
-11 + 2a + -8a + -5a = 9

Combine like terms: 2a + -8a = -6a
-11 + -6a + -5a = 9

Combine like terms: -6a + -5a = -11a
-11 + -11a = 9

Solving
-11 + -11a = 9

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + -11a = 9 + 11

Combine like terms: -11 + 11 = 0
0 + -11a = 9 + 11
-11a = 9 + 11

Combine like terms: 9 + 11 = 20
-11a = 20

Divide each side by '-11'.
a = -1.818181818

Simplifying
a = -1.818181818

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